doc-src/TutorialI/Misc/document/Tree2.tex
author wenzelm
Wed, 18 Aug 2010 23:44:50 +0200
changeset 38479 e628da370072
parent 27015 f8537d69f514
child 40406 313a24b66a8d
permissions -rw-r--r--
more efficient Markup_Tree, based on branches sorted by quasi-order; renamed markup_node.scala to markup_tree.scala and classes/objects accordingly; Position.Range: produce actual Text.Range; Symbol.Index.decode: convert 1-based Isabelle offsets here; added static Command.range; simplified Command.markup; Document_Model.token_marker: flatten markup at most once; tuned;

%
\begin{isabellebody}%
\def\isabellecontext{Tree{\isadigit{2}}}%
%
\isadelimtheory
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\endisadelimtheory
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\isatagtheory
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\endisatagtheory
{\isafoldtheory}%
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\isadelimtheory
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\endisadelimtheory
%
\begin{isamarkuptext}%
\noindent In Exercise~\ref{ex:Tree} we defined a function
\isa{flatten} from trees to lists. The straightforward version of
\isa{flatten} is based on \isa{{\isacharat}} and is thus, like \isa{rev},
quadratic. A linear time version of \isa{flatten} again reqires an extra
argument, the accumulator. Define%
\end{isamarkuptext}%
\isamarkuptrue%
flatten{\isadigit{2}}\ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}{\isacharprime}a\ tree\ {\isasymRightarrow}\ {\isacharprime}a\ list\ {\isasymRightarrow}\ {\isacharprime}a\ list{\isachardoublequoteclose}%
\begin{isamarkuptext}%
\noindent and prove%
\end{isamarkuptext}%
\isamarkuptrue%
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\isadelimproof
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\endisadelimproof
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\isatagproof
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\endisatagproof
{\isafoldproof}%
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\isadelimproof
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\endisadelimproof
\isacommand{lemma}\isamarkupfalse%
\ {\isachardoublequoteopen}flatten{\isadigit{2}}\ t\ {\isacharbrackleft}{\isacharbrackright}\ {\isacharequal}\ flatten\ t{\isachardoublequoteclose}%
\isadelimproof
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\endisadelimproof
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\isatagproof
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\endisatagproof
{\isafoldproof}%
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\isadelimproof
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\endisadelimproof
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\isadelimtheory
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\endisadelimtheory
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\isatagtheory
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\endisatagtheory
{\isafoldtheory}%
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\isadelimtheory
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\endisadelimtheory
\end{isabellebody}%
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